Dielectric porcelain composition and dielectric resonator using the same

ABSTRACT

The present invention is directed to a dielectric ceramic composition exhibiting a high unloaded quality factor and a small variation thereof. The dielectric ceramic composition of the invention containing Ba, Zn, and Ta, contains 100 parts by weight of a predominant component represented by xBaO-yZnO-(½)zTa2O5 (x, y, and z represent compositional proportions by mol and satisfy x+y+z=1), wherein x, y, and z fall within a quadrilateral region formed by connecting points A (x=0.503, y=0.152, z=0.345), B (x=0.497, y=0.158, z=0.345), C (x=0.503, y=0.162, z=0.335), and D (x=0.497, y=0.168, z=0.335) (sides AB, BD, DC, and CA being included) as shown in FIG. 1; 0.2-1.6 parts by weight K as reduced to K2O; and 0.7-8 parts by weight Ta as reduced to Ta2O5, wherein the ratio by weight of K to Ta falls within the range of 0.185-0.4. The dielectric resonator of the present invention is formed of the dielectric ceramic composition.

This application is a 371 of PCT/JP01/00636 filed Jan. 31, 2001.

TECHNICAL FIELD

The present invention relates to a dielectric ceramic composition of excellent dielectric characteristics in a high-frequency region, particularly such a composition exhibiting a high unloaded quality factor (hereinafter referred to as “Q_(u)”) and a small variation thereof, and to a dielectric resonator formed of the composition. The dielectric ceramic composition of the present invention can be used in dielectric filters, multilayer circuit boards, etc. for use in a high-frequency region.

BACKGROUND ART

Compositions represented by BaO—ZnO—Ta₂O₅ are known to be dielectric ceramic compositions which can be used in a high-frequency region. Such dielectric ceramic compositions for use in a high-frequency region must satisfy the following requirements:

(1) a high dielectric constant (hereinafter referred to as “∈_(r)”)

(2) a small absolute value of the temperature coefficient (hereinafter referred to as “τ_(f)”) of resonance frequency (hereinafter referred to as “f₀”); and

(3) a high Q_(u) in a high-frequency region.

The BaO—ZnO—Ta₂O₅ dielectric ceramic compositions are oxides represented by the compositional formula of Ba(Zn_(⅓)Ta_(⅔))O₃ and have a complex perovskite-type crystal structure. These oxides are generally referred to as BZT. The BZT dielectric ceramic compositions exhibit excellent dielectric characteristics, such as a high Q_(u). However, in recent years, there is a demand for a dielectric ceramic composition having a higher Q_(u), since the frequency region where such dielectric ceramic compositions are used has become higher; i.e., from the microwave region to the sub-millimeter region.

Publication of Unexamined Patent Application No. Hei 11-71173 discloses that a dielectric ceramic composition of more excellent dielectric characteristics can be obtained by incorporating a K component and a Ta component into an oxide represented by the compositional formula of Ba(Zn_(⅓)Ta_(⅔))O₃. Although incorporation of these specific components attains enhancement of dielectric characteristics, uniform Q_(u) cannot always be attained, and variation in Q_(u) may occur. Thus, provision of a dielectric ceramic composition exhibiting a smaller variation in dielectric characteristics is desired.

The present invention has been accomplished in order to solve the aforementioned problems, and an object of the invention is to provide a dielectric ceramic composition capable of attaining a high Q_(u) without variation, by means of employing specific proportions by amount of elements in the predominant component formed of an oxide containing Ba, Zn, and Ta and by limiting the ratio by amount of K component to Ta component other than the predominant component and the ratio by weight of K to Ta. Another object of the invention is to provide a dielectric resonator formed of the dielectric ceramic composition.

DISCLOSURE OF THE INVENTION

The dielectric ceramic composition of the present invention contains Ba, Zn, and Ta, and is characterized by comprising 100 parts by weight of a predominant component represented by xBaO—yZnO—(½)zTa₂O₅ (x, y, and z represent compositional proportions by mol and satisfy x+y+z=1), wherein x, y, and z fall within a quadrilateral region formed by connecting points A (x=0.503, y=0.152, z=0.345), B (x=0.497, y=0.158, z=0.345), C (x=0.503, y=0.162, z=0.335), and D (x=0.497, y=0.168, z=0.335) (sides AB, BD, DC, and CA being included) as shown in FIG. 1; 0.2-1.6 parts by weight K as reduced to K₂O; and 0.7-8 parts by weight Ta as reduced to Ta₂O₅, wherein the ratio by weight of K to Ta falls within the range of 0.185-0.4.

The dielectric resonator of the present invention is characterized by being formed of the above-described dielectric ceramic composition of the present invention.

In the dielectric ceramic composition of the present invention, the aforementioned “xBaO—yZnO—(½)zTa₂O₅” serving as the predominant component is an oxide having a complex perovskite-type crystal structure. Some portion of Ba atoms are substituted by K, and the perovskite-type crystal structure is thought to be maintained.

In the predominant component, when any of x, y, and z is in excess of the upper limit or less than the lower limit, variation in Q_(u) becomes large, even though excellent ∈_(r) and τ_(f) and a high average Q_(u) are obtained. Thus, a dielectric ceramic composition of dielectric characteristics with small variations cannot be produced. When at least two of x, y, and z are in excess of the upper limits or less than the lower limits, the average Q_(u) is prone to decrease and variation in Q_(u) becomes large, even through ∈_(r) and τ_(f) do not decrease. Preferably, by controlling x, y, and z so as to fall within a quadrilateral region formed by connecting points A′ (x=0.503, y=0.154, z=0.343), B′ (x=0.497, y=0.160, z=0.343), C′ (x=0.503, y=0.161, z=0.336), and D′ (x=0.497, y=0.167, z=0.336) (sides A′B′, B′D′, D′C′, and C′A′ being included), excellent ∈_(r) and τ_(f) can be maintained, and the average Q_(u) can be further increased with further decreased variation, to thereby provide a dielectric ceramic composition of dielectric characteristics with small variations.

When the amounts of “K” and “Ta” incorporated in addition to the predominant component are less than the above-described lower limits as reduced to K₂O and Ta₂O₅, respectively, particularly when the amount of K is less than the lower limit, based on 100 parts by weight of the aforementioned predominant component, the resultant composition is difficult to sinter, and in some cases, sintered products cannot be yielded. When the amounts of K and Ta are in excess of the upper limits, Q_(u) greatly decreases, and variation in Q_(u) increases.

When the ratio by weight of K to Ta is in excess of the upper limit or less than the lower limit, Q_(u) greatly decreases, and variation in Q_(u) further increases. By controlling the ratio by weight of K to Ta preferably to 0.25-0.35, more preferably 0.25-0.30, excellent ∈_(r) and τ_(f) can be maintained, and the average Q_(u) can be further increased with further decreased variation, to thereby provide a dielectric ceramic composition of dielectric characteristics with small variations.

K and Ta other than Ta contained in the predominant component form an oxide having a perovskite-mixture-type crystal structure represented by K_(p)TaO_(q). In K_(p)TaO_(q), K is considered to occupy the Ba site of the predominant component, and Ta is considered to occupy the Zn site or Ta site of the predominant component. The dielectric ceramic composition of the present invention has a perovskite-type crystal structure formed from the predominant component and the perovskite-type structure of K_(p)TaO_(q) partially occupying the predominant component, and the entire perovskite-type crystal structure is considered to be a complex perovskite-type crystal structure. In the predominant component, atoms of at least one of Zn and Ta may be substituted to some extent by an element such as Mg, Zr, Ga, Ni, Nb, Sn, or a rare earth metal element; e.g., Y. These elements are readily substituted by Zn or Ta, maintain the perovskite-type crystal structure, and do not impair excellent dielectric characteristics. In the case in which some portion of Ba atoms are substituted by Sr, τ_(f) can be modified while the Q_(u) value is maintained.

The dielectric ceramic composition of the present invention can be produced by mixing together oxides of Ba, Zn, Ta, and K or compounds other than the oxides of Ba, Zn, Ta, and K, which compounds yield corresponding oxides by heating; shaping the resultant mixture; and firing at 1300-1700° C. In addition to the aforementioned oxides of essential metallic elements, there may be incorporated oxides of at least one element such as Mg, Zr, Ga, Ni, Nb, Sn, or a rare earth.metal element; e.g., Y. Through this incorporation, there can be obtained a dielectric ceramic composition in which atoms of at least one of Zn and Ta constituting the predominant component are substituted to some extent by at least one element of the aforementioned elements.

When the firing temperature is less than 1300° C., a sintered product of sufficient density cannot be obtained, resulting in insufficiently increased Q_(u) in some cases, whereas when the firing temperature is in excess of 1700° C., potassium ions are readily eliminated through volatilization, and the surface of the sintered product becomes porous, resulting in a tendency of failure to attain sufficient improvement in Q_(u). The firing temperature is preferably 1350-1650° C., particularly preferably 1400-1650° C. In order to attain densification, the firing temperature is preferably controlled to 1500° C. or higher, particularly preferably 1550° C. or higher. No particular limitation is imposed on the firing time, and a firing time of 1 to 8 hours, particularly 2 to 6 hours, can be employed. Firing can be performed in an oxidizing atmosphere such as the natural atmosphere or a reducing atmosphere containing a small amount of hydrogen.

After completion of firing, the fired product may further be heated at a temperature lower than the firing temperature by approximately 50-250° C. in an oxidizing atmosphere for 12 hours or longer, to thereby produce a dielectric ceramic composition of excellent dielectric characteristics with further lower variation. When the temperature of this heat treatment is excessively high, coarse grains are readily formed during grain growth, to thereby fail to provide a sintered product of uniform quality in some cases, whereas when the temperature of the heat treatment is considerably low, the crystal structure does not assume a superlattice structure of a long period, resulting in a tendency of failure to attain sufficient improvement in Q_(u). The heat treatment temperature is lower than the firing temperature preferably by 70-200° C., particularly preferably by 70-170° C., more preferably by 80-150° C. For example, by controlling the heat treatment temperature to a temperature lower than the firing temperature by about 100° C., a dielectric ceramic composition having a superlattice structure can be produced easily.

The atmosphere of the heat treatment may be an oxidizing atmosphere such as the natural atmosphere. The natural atmosphere is preferred in that no special operation or apparatus are needed. However, by elevating the partial pressure of oxygen in the oxidizing atmosphere to a pressure higher than that in the natural atmosphere, a dielectric ceramic composition having a more excellent Q_(u) can be obtained. Thus, from the viewpoint of dielectric characteristics, an oxidizing atmosphere of an increased partial pressure of oxygen is preferred. The heat treatment is preferably performed for 12-20 hours. When the heat treatment time is excessively short, formation of a superlattice structure is difficult, resulting in insufficiently improved Q_(u) in some cases. A heat treatment time of 15 hours or longer, particularly 18 hours or longer, will successfully attain intended effects. Heating for 24 hours suffices for the heat treatment, and no longer heat treatment is necessary.

The dielectric ceramic composition of the present invention is endowed with excellent dielectric characteristics; i.e., there can be attained a τ_(f) of −15 to +15 ppm/° C., particularly −10 to +10 ppm/° C., further −5 to +5 ppm/° C. When a test piece having a diameter of 16 mm and a height of 8 mm is formed from the composition, the test piece can be endowed with a product of the measured frequency and Q_(u) of 25000-30000 GHz, wherein Q_(u) is measured at a frequency of 4-6 GHz through a parallel plate dielectric cylindrical resonator method (TE₀₁₁ mode). In addition, variation in Q_(u)×f₀ (measured frequency) is very small, and there can be attained a standard deviation σ_(n−1), calculated by the below-mentioned equations, of 700 or lower, particularly 500 or lower, further 300 or lower.

The dielectric resonator of the present invention is characterized by being formed of the dielectric ceramic composition of the present invention, and is endowed with excellent dielectric characteristics. Specifically, a Q_(u), as measured through a reflection method at a resonance frequency of 1900 MHz, of 40000 or higher can be attained.

In the dielectric ceramic composition of the present invention, no clear reason for enhancement in Q_(u) through substitution of Ba by K is elucidated. However, it is considered that one possible reason is that K_(p)TaO_(q) having a perovskite-type crystal structure forms a solid solution with the predominant component having a complex-perovskite-type crystal structure, to thereby provide a superlattice structure of a long period in the crystal structure of the dielectric ceramic composition. When K_(p)TaO_(q) of an unspecified composition is present, vacancies are regularly arrayed, to thereby form a superlattice structure. In addition, it is also considered that the presence of vacancies facilitates transfer of ions, elements, and the like during a firing step, to thereby promote densification. Thus, although conventional dielectric ceramic compositions of this type require long-term firing, firing by ultra-high-speed temperature elevation technique, etc. so as to attain densification, the dielectric ceramic composition of the present invention can be readily densified.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 shows a ternary composition diagram of three components constituting the predominant component of the dielectric ceramic composition of the present invention.

FIG. 2 shows a sketch of a test sample in which Q_(u) of the dielectric resonator of the present invention formed of the dielectric ceramic composition of the present invention was measured.

BEST MODES FOR CARRYING OUT THE INVENTION

The present invention will next be described by way of examples.

TEST EXAMPLES 1 to 26 (1) Production of Dielectric Ceramic Compositions

Commercial BaCO₃, ZnO, Ta₂O₅, and K₂CO₃ powders were weighed such that the compositions for Test Examples 1 to 26 shown in TABLE 1 were attained. Each of the thus-weighed powders was placed into a resin-made pot and dry-milled by use of a resin-ball mill, to thereby prepare a mixture powder. All proportions by amount shown in TABLE 1 are reduced to the corresponding oxides.

Subsequently, each mixture powder was calcined at 1100° C. for two hours. The calcined powder, poly(vinyl alcohol) serving as an organic binder, and water were placed into a resin-made pot, and the resultant mixture was milled by use of a resin-ball mill. The milled powder was dried through a spray dryer method and granulated, and the resultant granular powder was shaped by pressure into a column having a diameter of 19 mm and a height of 11 mm. The column was employed as a shaped body serving as a test piece for measuring dielectric characteristics. In the case of Test Examples 1, 4, 5, 12, and 24, in a similar manner, a shaped body having the shape of a cylindrical resonator and an outer diameter of 38 mm, an inner diameter 21 mm, and a height of 21 mm was formed from each composition of these Test Examples. These shaped bodies were maintained at 1650° C. for eight hours, to thereby prepare sintered bodies for use as test pieces and those having the shape of a resonator.

(2) Evaluation of Dielectric Characteristics

The surface of each sintered body obtained in (1) for serving as a test piece was polished, to thereby prepare a test piece having a diameter of 16 mm and a height of 8 mm. The test piece was subjected to measurement of ∈_(r), Q_(u), and τ_(f) (temperature range: 25-80° C.) through a parallel plate dielectric cylindrical resonator method (TE₀₁₁ mode) at a frequency of 4-6 GHz. The results are shown in TABLE 1. In another measurement, the surface of the sintered body having the shape of a resonator was polished so as provide a resonator having a resonance frequency of 1900 MHz, and Q_(u) was measured through a reflection method. The results are shown in TABLE 2.

The Q_(u) of the resonator having a resonance frequency of 1900 MHz was measured by use of a test sample as shown in FIG. 2. In FIG. 2, a resonator 1 is bonded, by use of an epoxy resin adhesive or similar material, to one end of a support 2 formed of a material such as sintered alumina-base material. Reference numeral 3 represents an adhesive layer. The unified body obtained from the resonator 1 and the support 2 was placed inside a cylinder-shape metal container 4 of which two end surfaces were tightly closed, and another end of the support 2 is bonded and fixed by use of a PTTF to a center portion of a bottom surface 4 a of the metal container 4. Reference numeral 5 represents a fixation section.

The standard deviation σ_(n−1) of Q_(u)×f₀ in TABLE 1 and that of Q_(u) in TABLE 2 were calculated on the basis of the following equations (1) and (2):

σ_(n−1) =V ^(½)  (1)

V=s/(n−1)  (2),

to thereby evaluate variations.

In the equations, V represents variance and s represents sum of squares of deviations from the mean. The number of the test pieces, n, was 30.

TABLE 1 Test xBaO—yZnO—½zTa₂O₅ τ_(f) Q_(u) Ex. x y z K₂O Ta₂O₅ K₂O/Ta₂O₅ ε_(r) (ppm/° C.) Q_(u)*f_(o) σ_(n-1) *1 0.5000 0.1670 0.3330 0.60 2.40 0.25 29 +6 27900 1172 2 0.5000 0.1645 0.3355 0.40 1.60 0.25 29 +4 28800 634 3 0.5000 0.1620 0.3380 0.25 0.83 0.30 28 +3 29700 327 4 0.5000 0.1595 0.3405 1.40 4.67 0.30 29 0 29565 177 5 0.5000 0.1570 0.3430 0.70 3.68 0.19 28 +6 29025 261 6 0.4975 0.1670 0.3355 1.20 4.44 0.27 29 −2 27675 332 7 0.4975 0.1620 0.3405 0.30 0.86 0.35 28 +4 28260 593 *8 0.4950 0.1670 0.3380 0.80 2.67 0.30 28 +6 27900 1256 9 0.5025 0.1620 0.3355 0.40 1.60 0.25 29 +4 28350 652 10 0.5025 0.1595 0.3380 0.70 1.84 0.38 28 +7 28260 509 *11 0.4950 0.1720 0.3330 0.60 1.71 0.35 28 +4 23963 1054 *12 0.5050 0.1620 0.3330 0.50 1.67 0.30 28 +7 26955 1159 *13 0.5050 0.1520 0.3430 0.90 3.60 0.25 29 +5 26190 1414 *14 0.5000 0.1520 0.3480 1.60 4.57 0.35 29 −1 23130 1064 *15 0.4950 0.1570 0.3480 1.40 3.68 0.38 28 −1 25920 1426 *16 0.5100 0.1570 0.3330 1.40 5.60 0.25 28 0 24345 1242 17 0.5000 0.1621 0.3379 1.60 8.00 0.20 28 −4 28260 254 18 0.4990 0.1610 0.3400 1.20 4.80 0.25 29 0 28755 316 19 0.5015 0.1600 0.3385 0.80 3.20 0.25 29 +4 28845 606 20 0.4990 0.1650 0.3360 1.00 3.33 0.30 29 −2 28655 516 *21 0.4980 0.1620 0.3400 0.10 0.40 0.25 Not sintered *22 0.5000 0.1635 0.3365 2.00 7.00 0.28 29 −4 21060 906 *23 0.4990 0.1625 0.3385 0.15 0.40 0.39 Not sintered *24 0.5010 0.1590 0.3400 1.50 8.50 0.18 29 −8 18720 1348 *25 0.5010 0.1590 0.3400 1.20 7.50 0.16 29 −6 18540 1428 *26 0.5000 0.1635 0.3365 0.25 0.55 0.45 29 −10 14040 1095

TABLE 2 Test xBaO—yZnO—½zTa₂O₅ Resonator (1900 MHz) Ex. x y z K₂O Ta₂O₅ K₂O/Ta₂O₅ Q_(u) σ_(n-1) *1 0.5000 0.1670 0.3330 0.60 2.40 0.25 38700 1625 4 0.5000 0.1595 0.3405 1.40 4.67 0.30 45500 410 5 0.5000 0.1570 0.3430 0.70 3.68 0.19 44700 447 *12 0.5050 0.1620 0.3330 0.50 1.67 0.30 35000 1925 *24 0.5010 0.1590 0.3400 1.50 8.50 0.18 26000 1222

As is clear from the results of TABLE 1, the compositions of Test Examples 2 to 7, 9 to 10, and 17 to 20, falling within the scope of the present invention, exhibit excellent properties; i.e., an ∈_(r) of 28-29 with small variation and a τ_(f) of −4 to +7 ppm/° C. The results indicate that the Q_(u)×f₀ is as high as 27675-29700 GHz, and the maximum σ_(n−1) thereof is 652, indicating small variation. In contrast, the compositions of Test Example 1 (z falling outside the scope of the present invention) and Test Example 8 (x falling outside the scope of the present invention) exhibit very large variations in Q_(u). In addition, the compositions of Test Examples 11 to 16 (x and z, and in the case of Test Example 11 x, z, and y, falling outside the scope of the present invention) exhibit tendency of decrease in Q_(u) and very large variations in Q_(u). The results also indicate that the compositions of Test Examples of 21 to 26, in which the amount of K as reduced to K₂O, the amount of Ta as reduced to Ta₂O₅, or the ratio by weight of K to Ta falls outside the scope of the invention, cannot be sintered in some cases, and Q_(u) further decreases and variations in Q_(u) are large.

As is clear from the results of TABLE 2, the compositions of Test Examples 4 to 5, falling within the scope of the present invention, exhibit Q_(u) as high as 44700 and 45500, and σ_(n−1) thereof of 410 and 447, indicating small variation. In contrast, the composition of Test Example 1 (z falling outside the scope of the present invention) exhibits tendency of decrease in Q_(u) and large variations in Q_(u). In addition, the composition of Test Example 12 (x and z falling outside the scope of the present invention) exhibits tendency of decrease in Q_(u) and very large variations in Q_(u). The results also indicates that the composition of Test Example 24, in which the ratio by weight of K as reduced to K₂O to Ta as reduced to Ta₂O₅ falls outside the scope of the invention, shows further decrease in Q_(u).

The present invention is not limited to the aforementioned specific Examples, and numerous modifications and variations in accordance with purposes and uses are possible in light of the spirit of the present invention. For example, in addition to the aforementioned BaCO₃ and K₂CO₃ serving as a raw materials for producing BaO and K₂O, compounds such as peroxides, hydroxides, and nitrates of Ba and K can also be used. Similarly, not only oxides of other elements, but also a variety of compounds thereof which transform, upon heating, into the corresponding oxides can also be used.

INDUSTRIAL APPLICABILITY

According to the dielectric ceramic composition of the present invention, a dielectric ceramic composition endowed with a comparatively high ∈_(r), a small absolute value of τ_(f), and a high Q_(u)×f₀, with small variations thereof, can be provided. According to the dielectric resonator of the present invention, a dielectric resonator of excellent performance can be obtained by employing the dielectric ceramic composition of the present invention endowed with excellent dielectric characteristics. 

What is claimed is:
 1. A dielectric ceramic composition containing Ba, Zn, and Ta comprising: (a) about 100 parts by weight of an oxide of the formula xBaO—yZnO—(½)zTa₂O₅, where x, y, and z represent compositional proportions by mol and x+y+z=1, and where x, y, and z fall within a quadrilateral region formed by connecting points A (x=0.503, y=0.152, z=0.345), B (x=0.497, y=0.158, z=0.345), C (x=0.503, y=0.162, z=0.335), and D (x=0.497, y=0.168, z=0.335) and including sides AB, BD, DC, and CA; (b) about 0.2-1.6 parts by weight K as K₂O; and (c) about 0.7-8 parts by weight Ta as Ta₂O₅, wherein the ratio by weight of K to Ta falls within the range of about 0.185-0.4.
 2. A dielectric ceramic composition of claim 1, wherein the ratio by weight of K to Ta falls within the range of about 0.25-0.35.
 3. A dielectric ceramic composition of claim 2, wherein the ratio by weight of K to Ta falls within the range of about 0.25-0.30.
 4. A dielectric ceramic composition of claim 1, 2 or 3, wherein the product of measured resonance frequency and high unloaded quality factor: f _(o) ×Q _(u) is about 25000-30000 GHz, where said Q_(u) is measured at a frequency of 4-6 GHz through a parallel plate dielectric cylindrical resonator method (TE₀₁₁ mode).
 5. A dielectric ceramic composition of claim 1, wherein the temperature coefficient, τ_(f), is about −15-+15 ppm/° C.
 6. A dielectric ceramic composition containing Ba, Zn and Ta comprising: (a) about 100 parts by weight of an oxide of the formula xBaO—yZnO—(½)zTa₂O₅ where x, y, and z represent compositional proportions by mol and x+y+z=1, and where x, y, and z fall within a quadrilateral region formed by connecting points A′ (x=0.503, y=0. 154, z=0.343), B′ (x=0.497, y=0.160, z=0.343), C′ (x=0.503, y=0.161, z=0.336),and D′ (x=0.497, Y=0.167, z=0.336) and including sides A′B′, B′D′, D′C′, and C′A′; (b) about 0.2-1.6 parts by weight K as K₂O; and (c) about 0.7-8 parts by weight Ta as Ta₂O₅, wherein the ratio by weight of K to Ta falls within the range of about 0.185-0.4.
 7. A dielectric resonator comprising a dielectric ceramic composition which comprises: (a) about 100 parts by weight of an oxide of the formula xBaO—yZnO—(½)zTa₂O₅, where x, y, and z represent compositional proportions by mol and x+y+z=1, and where x, y, and z fall within a quadrilateral region formed by connecting points A (x=0.503, y=0.152, z=0.345), B (x=0.497, y=0.158, z=0.345), C (x 0.503, y=0.162, z=0.335), and D(x=0.497, y=0.168, z 0.335) and including sides AB, BD, DC, and CA; (b) about 0.2-1.6 parts by weight K as K₂O; and (c) about 0.7-8 parts by weight Ta as Ta₂O₅, wherein the ratio by weight of K to Ta falls with the range of about 0.185-0.4.
 8. A dielectric resonator of claim 7, wherein the dielectric resonator exhibits an unloaded quality factor, Q_(u), as measured through a reflection method at a resonance frequency of 1900 MHz, of about 40000 or higher. 